Calculus Made Easy
Silvanus P. Thompson
58 chapters · 10 h 7 min · English
Read by Adam, Mike Pelton, katetastrophe, Le, Paul E J King, Jargoniel and others
Mathematics
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Calculus Made Easy: Being a Very-Simplest Introduction to Those Beautiful Methods of Reckoning which Are Generally Called by the Terrifying Names of the Differential Calculus and the Integral Calculus is is a book on infinitesimal calculus originally published in 1910 by Silvanus P. Thompson, considered a classic and elegant introduction to the subject. (from Wikipedia) Some calculus-tricks are quite easy. Some are enormously difficult. The fools who write the textbooks of advanced mathematics, and they are mostly clever fools, seldom take the trouble to show you how easy the easy calculations are. On the contrary, they seem to desire to impress you with their tremendous cleverness by going about it in the most difficult way. (from the Prologue)
Chapters
1 Preface to the Second Edition, Prologue 2 min 2 Chapter I: To Deliver You from the Preliminary Terrors 3 min 3 Chapter II: On Different Degrees of Smallness 11 min 4 Chapter III: On Relative Growings 17 min 5 Chapter IV: Simplest Cases 18 min 6 Exercises I, Answers to Exercises I 4 min 7 Chapter V: Next Stage. What to Do With Constants 18 min 8 Exercises II, Answers to Exercises II 12 min 9 Chapter VI: Sums, Differences, Products, and Quotients 33 min 10 Exercises III, Answers to Exercises III 10 min 11 Chapter VII: Successive Differentiation 5 min 12 Exercises IV, Answers to Exercises IV 7 min 13 Chapter VIII: When Time Varies - Part 1 16 min 14 Chapter VIII: When Time Varies - Part 2 15 min 15 Exercises V, Answers to Exercises V 6 min 16 Chapter IX: Introducing a Useful Dodge 26 min 17 Exercises VI and VII, Answers to Exercises VI and VII 11 min 18 Chapter X: Geometrical Meaning of Differentiaton 16 min 19 Exercises VIII, Answers to Exercises VIII 6 min 20 Chapter XI: Maxima and Minima - Part 1 14 min 21 Chapter XI: Maxima and Minima - Part 2 17 min 22 Exercises IX, Answers to Exercises IX 6 min 23 Chapter XII: Curvature of Curves 14 min 24 Exercises X, Answers to Exercises X 7 min 25 Chapter XIII: Other Useful Dodges - Part 1: Partial Fractions 24 min 26 Exercises XI, Answers to Exercises XI 8 min 27 Chapter XIII: Other Useful Dodges - Part 2: Differential of an Inverse Function 5 min 28 Chapter XIV: On True Compound Interest and the Law of Organic Growth - Part 1 (A) 19 min 29 Chapter XIV: On True Compound Interest and the Law of Organic Growth - Part 1 (B) 28 min 30 Exercises XII, Answers to Exercises XII 7 min 31 Chapter XIV: On True Compound Interest and the Law of Organic Growth - Part 2: The Logarithmic Curve 3 min 32 Chapter XIV: On True Compound Interest and the Law of Organic Growth - Part 3: The Die-away Curve 22 min 33 Exercises XIII, Answers to Exercises XIII 8 min 34 Chapter XV: How to Deal With Sines and Cosines - Part 1 9 min 35 Chapter XV: How to Deal With Sines and Cosines - Part 2: Second Differential Coefficient of Sine or Cosine 7 min 36 Exercises XIV, Answers to Exercises XIV 9 min 37 Chapter XVI: Partial Differentiation - Part 1 8 min 38 Chapter XVI: Partial Differentiation - Part 2: Maxima and Minima of Functions of two Independent Variables 5 min 39 Exercises XV, Answers to Exercises XV 7 min 40 Chapter XVII: Integration - Part 1 5 min 41 Chapter XVII: Integration - Part 2: Slopes of Curves, and the Curves themselves 7 min 42 Exercises XVI, Answers to Exercises XVI 2 min 43 Chapter XVIII: Integrating as the Reverse of Differentiating - Part 1 9 min 44 Chapter XVIII: Integrating as the Reverse of Differentiating - Part 2: Integration of the Sum or Difference of two Functions 2 min 45 Chapter XVIII: Integrating as the Reverse of Differentiating - Part 3: How to Deal With Constant Terms 9 min 46 Chapter XVIII: Integrating as the Reverse of Differentiating - Part 4: Some Other Integrals 6 min 47 Chapter XVIII: Integrating as the Reverse of Differentiating - Part 5: On Double and Triple Integrals 4 min 48 Exercises XVII, Answers to Exercises XVII 7 min 49 Chapter XIX: On Finding Areas by Integrating - Part 1 24 min 50 Chapter XIX: On Finding Areas by Integrating - Part 2: Areas in Polar Coordinates 4 min 51 Chapter XIX: On Finding Areas by Integrating - Part 3: Volumes by Integration 4 min 52 Chapter XIX: On Finding Areas by Integrating - Part 4: On Quadratic Means 4 min 53 Exercises XVIII, Answers to Exercises XVIII 8 min 54 Chapter XX: Dodges, Pitfalls, and Triumphs 15 min 55 Exercises XIX, Answers to Exercises XIX 5 min 56 Chapter XXI: Finding Some Solutions - Part 1 15 min 57 Chapter XXI: Finding Some Solutions - Part 2 13 min 58 Epilogue and Apologue 3 min
